8. The table at right shows a probability distribution for the number days per week college students eat out P(x] for dinner. Note: this is NOT a binomial probability distribution. a. What is the probability that a student eats out for dinner six times a week? (Fill your answer into the 0.32 table.) 1 0.26 b. What is the standard deviation of the distribution? 2 0.14 0.11 C. What is the mean of the distribution? 4 0.06 5 0.05 I d. What is the probability that a randomly selected student eats out less than three times a week? 7 0.02 e. Is eating out six days per week a significantly high number of days? Explain. (Use a probability of 5% as the threshold for significance.)